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Russia Izhevsk
Section Mechanics
Title On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling
Author(-s) Bolkisev A.A.a
Affiliations Institute of Mechanics, Ural Branch of the Russian Academy of Sciencesa
Abstract The paper presents a problem statement for random hard particles packing as minimization of an objective function that is the measure of overlapping of $\mathbb{R}^3$ subdomains representing particles and forbidden zones, with desired pack characteristics being accounted for by an additional summand in the objective function. A new algorithm based on the random search approach is proposed; it assesses a new particles configuration after each movement, and particles grow from an initial to full size as overlaps being removed. This algorithm is matched with the viscous suspension algorithm for the case of packing equal-sized spheres in a periodic cube. For packing fractions $\varphi<0,55$ the random search algorithm yields packs with fewer and smaller particle clusters than the viscous suspension one, in denser packs differences are insignificant. An example of creating a pack with the feature that particles are shifted closely to the solid boundary is shown as well.
Keywords hard spheres, hard particles, packing, random searching, composite solid propellant structure
UDC 519.688
MSC 49K45, 05B40
DOI 10.20537/vm120210
Received 16 March 2012
Language Russian
Citation Bolkisev A.A. On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 2, pp. 106-113.
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